Answer:
66 77498474848484487474847
Answer:
a) {P1P2, P1N, P1D,P2P1, P2N,P2D,NP1,NP2,ND,DP1,DP2,DN}
PP=2/12 NP=4/12 DP=4/12 DN=2/12
b) 1/3
Step-by-step explanation:
Let us call pennies by P1 and P2.
a)There are 12 possible outcomes as it is written above.
b)In order to have 11 cents we need a penny and the dime. There are 4 such possibilities (events). The total number is 12. So the probability is 4/12.
Answer:
a)$1628.90
b)$1647.00
c)$1648.72
Step-by-step explanation:
The question is on compound interest.
The formula to apply here is;
where
- P=principal /beginning amount
- r=interest rate as a decimal
- n=number of compoundings a year
- t=total number of years
a) If compounded annually, n=1
p=$1000, r=5%=0.05 t=10
Amount will be;
Amount=$1628.90
b) If compounded monthly, n=12
p=$1000, r=5%=0.05, t=10, n=12
Amount=$1647.00
c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;
A=Pe^rt where e is the mathematical constant e=2.71828182846
Hence the amount will be;
Amount=$1648.72
Answer:
1) $350
2) 55°
3) $300
Step-by-step explanation:
1) The total cost is the cost of the appointment plus the cost of the repair work. The appointment costs $50. The repair work costs $120 per 2 hours. So the total cost is:
C = 50 + (120/2) t
C = 50 + 60t
For 5 hours of work, the cost is:
C = 50 + 60(5)
C = 350
It costs $350.
2) The temperature starts at 70°. It drops 10° in 4 hours. So the temperature after t hours is:
T = 70 + (-10/4) t
T = 70 − 2.5t
After 6 hours:
T = 70 − 2.5(6)
T = 55
The temperature is 55°.
3) Jennie's total pay is her weekly pay plus her commissions. If her commission is x% of her sales, then her pay is:
P = 250 + (x/100) S
When her sales is $1000, her pay is $275.
275 = 250 + (x/100) 1000
275 = 250 + 10x
25 = 10x
x = 2.5
So her pay is:
P = 250 + (2.5/100) S
When S = $2000:
P = 250 + (2.5/100) 2000
P = 250 + 50
P = 300
Her total pay is $300.
